{
 "cells": [
  {
   "cell_type": "code",
   "id": "f97f5476a4d0111f",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-25T14:52:32.149467Z",
     "start_time": "2025-01-25T14:52:31.591923Z"
    }
   },
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import math"
   ],
   "outputs": [],
   "execution_count": 1
  },
  {
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2025-01-25T14:56:08.368371Z",
     "start_time": "2025-01-25T14:56:08.261929Z"
    }
   },
   "cell_type": "code",
   "source": [
    "#获得0到2π之间的ndarray对象（以0.05为间隔）\n",
    "x = np.arange(0, math.pi*2, 0.05)\n",
    "y = np.sin(x)\n",
    "\n",
    "plt.plot(x, y)\n",
    "plt.xlabel(\"angle\")\n",
    "plt.ylabel(\"sine\")\n",
    "plt.title('sine wave')\n",
    "\n",
    "plt.show()"
   ],
   "id": "initial_id",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 8
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "绘制多个图像",
   "id": "dcee4726058ed6d6"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-25T14:56:09.594307Z",
     "start_time": "2025-01-25T14:56:09.475183Z"
    }
   },
   "cell_type": "code",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 9,
   "source": [
    "y1 = np.sin(x)\n",
    "y2 = np.cos(x)\n",
    "\n",
    "# 绘制两条线\n",
    "plt.plot(x, y1)\n",
    "plt.plot(x, y2)\n",
    "\n",
    "# 添加图例和标题\n",
    "plt.legend(['Sin', 'Cos'])\n",
    "plt.title('Sin and Cos Waves')\n",
    "\n",
    "# 显示图形\n",
    "plt.show()"
   ],
   "id": "dfcd9f24834bedcf"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-25T14:56:11.356172Z",
     "start_time": "2025-01-25T14:56:11.245812Z"
    }
   },
   "cell_type": "code",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f261aafc1c0>]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 10,
   "source": "plt.plot(x,y1,\"ob:\") #\"b\"为蓝色, \"o\"为圆点, \":\"为点线",
   "id": "a8cbad7992da7b5b"
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "其他图表",
   "id": "6e866f46b49bdbd4"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-25T14:56:47.883957Z",
     "start_time": "2025-01-25T14:56:47.798657Z"
    }
   },
   "cell_type": "code",
   "source": [
    "x = np.array([1, 2, 3, 4, 5, 6, 7, 8])\n",
    "y = np.array([1, 4, 9, 16, 7, 11, 23, 18])\n",
    "\n",
    "sizes = np.array([20,50,100,200,500,1000,60,90])\n",
    "colors = np.array([\"red\",\"green\",\"black\",\"orange\",\"purple\",\"beige\",\"cyan\",\"magenta\"])\n",
    "\n",
    "plt.scatter(x, y, c=colors, s=sizes)\n",
    "plt.show()"
   ],
   "id": "6a4c1ab127804a48",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 11
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-25T14:57:02.238684Z",
     "start_time": "2025-01-25T14:57:02.171087Z"
    }
   },
   "cell_type": "code",
   "source": [
    "x = np.array([\"Runoob-1\", \"Runoob-2\", \"Runoob-3\", \"C-RUNOOB\"])\n",
    "y = np.array([12, 22, 6, 18])\n",
    "\n",
    "plt.bar(x, y,  color = [\"#4CAF50\",\"red\",\"hotpink\",\"#556B2F\"], width=0.5)\n",
    "plt.show()"
   ],
   "id": "c9a34a9d42a4dedb",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 12
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-25T14:57:10.966639Z",
     "start_time": "2025-01-25T14:57:10.907541Z"
    }
   },
   "cell_type": "code",
   "source": [
    "\n",
    "y = np.array([35, 25, 25, 15])\n",
    "\n",
    "plt.pie(y,\n",
    "        labels=['A','B','C','D'], # 设置饼图标签\n",
    "        colors=[\"#d5695d\", \"#5d8ca8\", \"#65a479\", \"#a564c9\"], # 设置饼图颜色\n",
    "        explode=(0, 0.2, 0, 0), # 第二部分突出显示，值越大，距离中心越远\n",
    "        autopct='%.2f%%', # 格式化输出百分比\n",
    "       )\n",
    "\n",
    "plt.show()"
   ],
   "id": "d885c29c43ac72e0",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 13
  },
  {
   "metadata": {},
   "cell_type": "code",
   "outputs": [],
   "execution_count": null,
   "source": "",
   "id": "c87e9dd7aad6f83d"
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
